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A candidate who gets 20% marks in an examination fails by 30 marks but another candidate who gets 32% gets 42 marks more than the passing marks. Then the percentage of pass marks is :
Options:
A .  33%
B .  50%
C .  25%
D .  52%
Answer: Option C
Answer: (c)
Difference of percentages of maximum marks obtained by two candidates = 32% – 20% = 12%
Difference of scores between two candidates = 30 +42 = 72
12% of maximum marks = 72
Maximum marks = ${72 × 100}/12$ = 600
Pass marks = 20% of 600 + 30
= 120 + 30 = 150
Required percentage = $150/600 × 100 = 25%$
Using Rule 22,
An examinee scored m% marks in an exam and failed by p marks. In the same examination, another examinee obtained n% marks and passed with q more marks than the minimum, then
∴ Maximum marks = $100/(n -m) × (p + q)$

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